is 2 677459 - 1
has 203936 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3970C64DDDBF8628double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26743.860870.1493%1000000300000000.07475.5366%43.935671.8020%1.6527%
PrimeNet2400.000050.0000%65002400000.000621.1635%0.000660.5818%10.5818%
GPU722440.000054.5455%110004000000.000916.0355%0.000961.8343%7.2889%
Difference+23+43.8608+15.6038%+989000+29600000+0.0738-10.4989%+43.9346+9.9677%+9.9677%

Known prime factors (1 factor, 76.9 bits, 0.01135026% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6774591403482278496173162960732476.893103584296503269804
22 × 3 × 8632024708605817
2014-03-304863202470860581725,93513,619,65725,437,726

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.615%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.232%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.855%
2002-10-19T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.618%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.508%
2011-07-19T21:09:00Jocelyn LaroucheManual testing330261330261---0.010--1.418%
2011-09-11T15:19:00Jocelyn LaroucheManual testing550436550436---0.016--1.791%
2012-08-29T21:05:00Jocelyn LaroucheManual testing13549181354918---0.039--2.575%
unknown100000030000000---0.075--5.537%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.014--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.028--
2003-10-14T00:00:00ANONYMOUSv4_computers21258--0.057--
2008-10-13T03:46:00Sturle Sundegluck.ifi258259--0.057--
2008-10-13T04:26:00Sturle Sundegluck.ifi259260--0.113--
2010-11-16T21:46:00Sid & AndyBuzz260261--0.227--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.245 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.245 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6990.000%
25500001.34626.016%
302500000.10789.809%
3510000000.00799.296%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002806.297
25000025000000444.948


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-02T00:00:00ANONYMOUSv4_computers3970C64DDDBF86280.014


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:53:38Oliver KruseGTX-3
140348227849617316296073
FC831ED35D72DD__no
2017-09-28T09:45:05Oliver KruseManual testing
140348227849617316296073
FC831ED35D72DD__no
2017-11-09T02:25:58kkmrkkblmbrbkc4.large
140348227849617316296073
FC831ED35D72DD__no
2020-04-20T02:20:41Oliver KruseAddPrpType5
140348227849617316296073
1EF65B9560B5AF__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1354918 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 550436 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 330261 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-20T02:20:41+00:00